The elementary theory of twisted flux tubes. I - Equilibrium configurations

Physics

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Field Theory (Physics), Magnetic Flux, Solar Atmosphere, Solar Magnetic Field, Stellar Models, Atmospheric Stratification, Equilibrium Equations, Lorentz Force, Magnetohydrodynamics, Taylor Series

Scientific paper

An approximate parametric treatment of the equilibrium of a twisted, nonisothermal flux tube is given in which third and higher order terms in the Taylor expansion of the field are neglected. Families of nonisothermal, nonforce-free solutions are obtained. The equilibrium and pressure boundary conditions are satisfied correct to second-order terms, while the zero divergence condition is satisfied exactly. Models of untwisted flux tubes or of isothermal force-free tubes are obtained as particular cases of the general formulation. A comparison is made with Parker's analysis of twisted flux tubes, and it is shown that Parker's analysis is valid only for small angles of twist. The possibility of field enhancement by cooling and twisting is considered in terms of the models obtained.

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